Home / 1,728.04-2,590.62-687.40

Finding the Fourth Proportional to 1,728.04, 2,590.62 and 687.40

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Solution

The fourth proportional to 1,728.04, 2,590.62 and 687.40 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.04 : 2,590.62 = 687.40 : x
  2. Step 2: Convert to fraction form
    1,728.04/2,590.62 = 687.40/x
  3. Step 3: Cross multiply
    1,728.04x = 2,590.62 × 687.40
  4. Step 4: Simplify right side
    1,728.04x = 1,780,792.19
  5. Step 5: Solve for x
    x = 1,780,792.19/1,728.04
  6. Step 6: Final answer
    x = 1,030.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.